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Welcome to the STARKFX Puzzle, Caltrops

This is an ancient weapon, but how would you put it into a modern CAD program in 3-D so you could have it manufactured?

Caltrops Puzzle

A caltrop can be formed with a sphere having 4 spikes protruding from it.

Every spike is exactly the same distance from every other spike.

What is the Angle Between Any Pair of Spikes?

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